Solve the system by substitution and show all work: 2.5x-3y=-133.25x-y=-14

(-4,1)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Pair 2.5x-3y=-13 and 3.25x-y=-14

We can solve for y in 3.25x-y=-14. 3.25x+14=y.

Because y=3.25x+14, we can substitute 3.25x+14 into y in 2.5x-3y=-13.

2.5x-3y=-13

2.5x-3(3.25x+14)=-13

2.5x-9.75x-42=-13

-7.25x-42=-13

-7.25x=29

x= -4

We now substitute x=-4 into y=3.25x+14

y=3.25x+14

y=3.25(-4)+14

y=-13+14

y=1

x² - 6x + 9

Explanation:
Before we begin, remember the following:
(a - b)(a - b) = (a - b)² = a² - 2ab + b²

Now, for the given, we have:
(x - 3)(x - 3)
We can note that the two brackets are identical. Therefore, we will simply apply the above rule as follows:
(x - 3)(x - 3)
(x - 3)² = (x)² - 2(x)(3) + (3)²
           = x² - 6x + 9

Hope this helps :)